r^2-70r+2125=999.82

Solution for r^2-70r+2125=999.82 equation:

r^2-70r+2125=999.82

We move all terms to the left:

r^2-70r+2125-(999.82)=0

We add all the numbers together, and all the variables

r^2-70r+1125.18=0

a = 1; b = -70; c = +1125.18;
Δ = b2-4ac
Δ = -702-4·1·1125.18
Δ = 399.28
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-\sqrt{399.28}}{2*1}=\frac{70-\sqrt{399.28}}{2}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+\sqrt{399.28}}{2*1}=\frac{70+\sqrt{399.28}}{2}
$